Prime p₀= 2012754123215277887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: MarkRBright
db: batch=80, k=10, 2 10 2 118 2

SPT(16)	2012752499481359821	0 30 48 52 58 78 100 106 162 168 190 210 216 220 238 268	-1623733918066
STPT(10)	2012753389413876059	0 2 18 20 30 32 42 44 60 62	-733801401828
SPT(16)	2012753419894009957	0 36 42 52 94 124 132 154 162 184 192 222 264 274 280 316	-703321267930
STPT(10)	2012753481019794197	0 2 24 26 42 44 60 62 84 86	-642195483690
SPT(16)	2012753534323380923	0 6 44 60 110 120 138 140 174 176 194 204 254 270 308 314	-588891896964
SPT(16)	2012753855713909619	0 38 54 72 110 122 150 164 198 212 240 252 290 308 324 362	-267501368268
STPT(10)	2012754163108900889	0 2 18 20 30 32 42 44 60 62	39893623002
STPT(10)	2012754181589097377	0 2 54 56 72 74 90 92 144 146	58373819490
SPT(16)	2012754211642018237	0 16 24 66 70 112 154 184 222 252 294 336 340 382 390 406	88426740350
SPT(16)	2012754251297594479	0 10 28 34 48 58 100 120 148 168 210 220 234 240 258 268	128082316592
STPT(10)	2012754709986912719	0 2 42 44 60 62 78 80 120 122	586771634832